MinT - Information on Result #1158326

Information on Result #1158326

Linear OOA(2²⁰⁰, 320, F₂, 7, 37) (dual of [(320, 7), 2040, 38]-NRT-code), using extracting embedded OOA based on digital (163, 200, 320)-net over F₂, using

trace code for nets [i] based on digital (3, 40, 64)-net over F₃₂, using
- net from sequence [i] based on digital (3, 63)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 3 and N(F) ≥ 64, using
    - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁰⁰, 320, F₂, 7, 36) (dual of [(320, 7), 2040, 37]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁰⁷, 321, F₂, 7, 37) (dual of [(321, 7), 2040, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2²⁰¹, 320, F₂, 7, 37) (dual of [(320, 7), 2039, 38]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2²⁰², 320, F₂, 7, 37) (dual of [(320, 7), 2038, 38]-NRT-code)	[i]
5	Linear OOA(2²⁰³, 320, F₂, 7, 37) (dual of [(320, 7), 2037, 38]-NRT-code)	[i]
6	Linear OOA(2²⁰⁴, 320, F₂, 7, 37) (dual of [(320, 7), 2036, 38]-NRT-code)	[i]
7	Linear OOA(2²⁰⁶, 320, F₂, 7, 37) (dual of [(320, 7), 2034, 38]-NRT-code)	[i]